Study of the running coupling constant in 10-flavor QCD with the Schr\"odinger functional method

TL;DR

This paper investigates whether 10-flavor QCD exhibits walking behavior in its gauge coupling using the Schrödinger functional method, which could support models where mass generation stems from strong gauge dynamics.

Contribution

The study applies the Schrödinger functional method to analyze the running coupling in 10-flavor QCD, providing preliminary insights into its potential walking behavior.

Findings

Initial results suggest slow running of the gauge coupling.

Evidence points toward possible walking dynamics in 10-flavor QCD.

Further analysis is needed to confirm the behavior.

Abstract

The electroweak gauge symmetry is allowed to be spontaneously broken by the strongly interacting vector-like gauge dynamics. When the gauge coupling of a theory runs slowly in a wide range of energy scale, the theory is a candidate for walking technicolor. This may open up the possibility that the origin of all masses may be traced back to the gauge theory. We use the \SF method to see whether the gauge coupling of 10-flavor QCD "walks" or not. Preliminary result is reported.